Bayesian Analysis of Weibull-Lindley Distribution Using Different Loss Functions
Innocent Boyle Eraikhuemen, Olateju Alao Bamigbala, Umar Alhaji Magaji, Bassa Shiwaye Yakura, Kabiru Ahmed Manju
Asian Journal of Advanced Research and Reports · pp. 28–41 · Published 7 Mar 2020
10.9734/ajarr/2020/v8i430205Abstract
In the present paper, a three-parameter Weibull-Lindley distribution is considered for Bayesian analysis. The estimation of a shape parameter of Weibull-Lindley distribution is obtained with the help of both the classical and Bayesian methods. Bayesian estimators are obtained by using Jeffrey’s prior, uniform prior and Gamma prior under square error loss function, quadratic loss function and Precautionary loss function. Estimation by the method of Maximum likelihood is also discussed. These methods are compared by using mean square error through simulation study with varying parameter values and sample sizes.
Cited by 1
Aliyu Ismail Ishaq, Alfred Adewole Abiodun, Jamilu Yunusa Falgore · Heliyon · 2021
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